Recessive, Codom, dominant (along with others which would really confuse things x-linked blah blah blah) are basically way to describe how the genes show up in the offspring. Each trait (gene) is given a name, ie. albino, pied whatever. Then (once proven) it is also described in terms of inheritablilty (recessive, codom, dom). In general, one gene does not affect another. That is why when you are looking at those punnet squares, you focus only on the one particular trait. If you are interested in more that one trait, then you have to widen your focus.

Did that help at all, or did I make it worse?